Slope-Intercept Form

Front

What is the slope in the slope-intercept form equation y = mx + b?

Back

The slope (m) represents the steepness of the line and the direction it goes. A positive slope means the line rises from left to right, while a negative slope means it falls.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis. It indicates the value of y when x is 0.

Front

How do you identify a positive slope from a graph?

Back

A positive slope is identified when the line rises as it moves from left to right.

Front

How do you identify a negative slope from a graph?

Back

A negative slope is identified when the line falls as it moves from left to right.

Front

What is the slope of the line represented by the points (1, 2) and (3, 6)?

Back

The slope is 2, calculated as (6-2)/(3-1) = 4/2 = 2.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the equation of a line is y = 3x + 4, what is the slope?

Back

The slope is 3.

Front

If the equation of a line is y = -x + 2, what is the y-intercept?

Back

The y-intercept is 2.

Front

How do you convert the equation y = 2x + 3 into slope-intercept form?

Back

The equation is already in slope-intercept form, where m = 2 and b = 3.